Dewetting dynamics of anisotropic particles -- a level set numerical\n approach

2021/05/21 by Siddharth Gavhale, Gavhale, Siddharth, Karel Švadlenka +1
Computer Science · Engineering · #53E10 #65K10 #74P20 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2105.13171

openalex publication_date 2021/05/21 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We extend thresholding methods for numerical realization of mean curvature\nflow on obstacles to the anisotropic setting where interfacial energy depends\non the orientation of the interface. This type of schemes treats the interface\nimplicitly, which supports natural implementation of topology changes, such as\nmerging and splitting, and makes the approach attractive for applications in\nmaterial science. The main tool in the new scheme are convolution kernels\ndeveloped in previous studies, that approximate the given anisotropy in a\nnonlocal way. We provide a detailed report on the numerical properties of the\nproposed algorithm.\n

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